Use a calculator.. That will help.
Answer:
x ≈ 263.1
Step-by-step explanation:
The marked sides are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(70°) = 90/x . . . . use given values
x = 90/cos(70°) . . . . multiply by x/cos(70°)
x ≈ 263.1
_____
<em>Additional comment</em>
The mnemonic SOH CAH TOA is intended to remind you of the primary trig relations:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.
So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.
In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data
Similarly position of the point 37.5% below the mean will be located at
50 - 37.5% = 12.5% of the overall data
From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.
Using these z scores, we can find the values which contain 75% of the values about the mean.
z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:
150 - 1.15(25) = 121.25
z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:
150 + 1.15(25) = 178.75
So, the interval from 121.25 to 178.75 contains the 75% of the data values.
Answer:
210.25 or 210.3495409 depending on how your teacher does it
Step-by-step explanation:
Looking for circumference of the circle when it asks for perimeter
Formula for Circumference C = π x r <em>3 (cubed)</em>
The diameter is 10 so you take half of ten or 10 ÷ 2 = 5
5 x 5 x 5 = 125 (r squared equation)
125 x π = 392.6990817
Some classes ans stuff use 3.14 for pi so i'll show it that way too
125 x 3.14 = 392.5
(equation with π)
392.6990817 ÷ 2 = 196.3495409
196.3495409 + 14 = 210.3495409
(equation with 3.14)
392.5 ÷ 2 = 196.25
14 + 196.25 = 210.25
Answer:
75 in²
Step-by-step explanation:
(see attached for reference)
recall that the formula for area of a circle is given by
Area = π r²
where
π = given to be 3
r = radius given as 5 in
simply substituting the values into the equation:
Area = π r²
= 3 x 5²
= 3 x 25
= 75 in²
